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Finding the Third Proportional to 46,082 and 100,996

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Solution

The third proportional to 46,082 and 100,996 is: 221,348.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,082 : 100,996 = 100,996 : x
  2. Step 2: Convert to fraction form
    46,082/100,996 = 100,996/x
  3. Step 3: Cross multiply
    46,082x = 100,996 × 100,996
  4. Step 4: Simplify right side
    46,082x = 10,200,192,016
  5. Step 5: Solve for x
    x = 10,200,192,016/46,082
  6. Step 6: Final answer
    x = 221,348.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.